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angles of cyclic ABCD wanted

Source: 1995 Swedish Mathematical Competition p5

April 2, 2021
geometryanglesCycliccyclic quadrilateral

Problem Statement

On a circle with center OO and radius rr are given points A,B,C,DA,B,C,D in this order such that AB,BCAB, BC and CDCD have the same length ss and the length of ADAD is s+rs+ r.Assume that s<rs < r. Determine the angles of quadrilateral ABCDABCD.
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